Multi-Sensor Measurement of Cylindrical Illuminance

Spatial light field metrics, such as cylindrical illuminance, provide essential information for qualitative lighting evaluation, yet they remain far less common in practice than horizontal illuminance. To address this gap, we present a multi-sensor prototype that simultaneously measures horizontal illuminance <i>E<sub>h</sub></i> and approximates mean cylindrical illuminance <i>E<sub>z</sub></i> from a set of vertical illuminances uniformly distributed around a cylindrical surface. The device uses a flexible PCB wrapped around a support barrel, along with an inertial and magnetic measurement unit for orientation tracking. The measurements enable direct calculation of the modelling factor defined in the technical standard EN 12 464 and the visualization of the directional light distribution using polar plots and an illuminance solid. Results show that the prototype approximates mean cylindrical illuminance with high accuracy while preserving directional information, allowing the illuminance solid to be decomposed into vector and symmetric components. Compared with conventional approximation methods, the proposed multi-sensor approach reduces spatial error and yields richer data for lighting analysis. These findings indicate that multi-sensor systems can bridge the gap between theoretical spatial metrics and practical photometry and support the improved modelling evaluation and integration of qualitative lighting parameters into routine workflows.

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Publication Details

Journal
Sensors
Published
2026-03-23
DOI
https://doi.org/10.3390/s26061991
Primary Topic
Building Energy and Comfort Optimization
Type
article
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article

Multi-Sensor Measurement of Cylindrical Illuminance

Marek Bálský, Petr Žák, Michal Kozlok
Sensors
Building Energy and Comfort Optimization
article

Multi-Sensor Measurement of Cylindrical Illuminance

Marek Bálský, Petr Žák, Michal Kozlok
article en

Abstract

Spatial light field metrics, such as cylindrical illuminance, provide essential information for qualitative lighting evaluation, yet they remain far less common in practice than horizontal illuminance. To address this gap, we present a multi-sensor prototype that simultaneously measures horizontal illuminance <i>E<sub>h</sub></i> and approximates mean cylindrical illuminance <i>E<sub>z</sub></i> from a set of vertical illuminances uniformly distributed around a cylindrical surface. The device uses a flexible PCB wrapped around a support barrel, along with an inertial and magnetic measurement unit for orientation tracking. The measurements enable direct calculation of the modelling factor defined in the technical standard EN 12 464 and the visualization of the directional light distribution using polar plots and an illuminance solid. Results show that the prototype approximates mean cylindrical illuminance with high accuracy while preserving directional information, allowing the illuminance solid to be decomposed into vector and symmetric components. Compared with conventional approximation methods, the proposed multi-sensor approach reduces spatial error and yields richer data for lighting analysis. These findings indicate that multi-sensor systems can bridge the gap between theoretical spatial metrics and practical photometry and support the improved modelling evaluation and integration of qualitative lighting parameters into routine workflows.

SensorsVol. 26(6)
Czech Technical University in Prague (CZ)
Openalex Percentile: Top 12%
Building Energy and Comfort Optimization
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